I would like if there is a notion similar to that of a "power set" where the order of the elements in a set is accounted for - the elements are permuted, and each arrangement is considered to be a separate set.(adsbygoogle = window.adsbygoogle || []).push({});

For example:

For three singletons: {X},{Y}, & {Z} in a set S, the "ordered & permuted power set" would consist of the following subsets:

{Empty}

{X}; {Y}; {Z};

{X,Y}; {Y,X}; {X,Z}; {Z,X}; {Y,Z}; {Z,Y}

{X,Y,Z}; {X,Z,Y}; {Y,X,Z}; {Z,X,Y}; {Y,Z,X}; {Z,Y,X}

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# Permuted & ordered power set

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